for packet routing puzzle lovers--aka, routing problem

[Eric]

This stuff is supposed to be basic but it gets confusing.  Could someone
help me understand a routing problem?  I very much appreciate it; I know
there are lots of characters on this page.  But this problem is preventing
me from scp'ing from my firewall (computer C) to fileserver (computer A),
which is what I need to do.

Topology

Computer A (e-smith)
eth1 public ip
eth0 10.0.0.1

Computer B (w2K)
10.0.0.2
192.168.0.1

Computer C (rh7.1)
192.168.0.10

Computers A and C are obviously separated by computer B.

PROBLEM:

Computer A can ping only 10.0.0.2 and public IP's, but not anything on
192.168.0.x.
Computer B can ping everything.
Computer C can ping anything on 192.168.0.x and any public IP, but
**cannot** ping any 10.0.0.x.

**So in essence, A cannot reach C, and C cannot reach A.

I told computer C how to get to A, and A how to get to C, and B how to get
to A and C.  But it doesn't work.  What am I doing wrong.

Here are the routing tables:

***Computer A
Kernel IP routing table
Kernel IP routing table
Destination     Gateway         Genmask         Flags Metric Ref    Use
Iface
10.0.0.0 	    *               255.255.255.0   U     0      0        0 eth0
192.168.0.0	    pc-0002         255.255.255.0   UG    0      0        0 eth0
226.4.216.0     *			  255.255.255.0   U     0      0        0 eth1
127.0.0.0       *               255.0.0.0       U     0      0        0 lo
default         226-4-216-1.ge 0.0.0.0         UG    0      0        0 eth1


("pc-0002" showed up after I did "route add -net 192.168.0.0/24 gw
10.0.0.2".)


***Computer B
Active Routes:
Network Destination        Netmask          Gateway       Interface  Metric
          0.0.0.0          0.0.0.0         10.0.0.1        10.0.0.2       1
         10.0.0.0    255.255.255.0         10.0.0.2        10.0.0.2       1
         10.0.0.0        255.0.0.0      192.168.0.2     192.168.0.1       1
         10.0.0.2  255.255.255.255        127.0.0.1       127.0.0.1       1
   10.255.255.255  255.255.255.255         10.0.0.2        10.0.0.2       1
        127.0.0.0        255.0.0.0        127.0.0.1       127.0.0.1       1
      192.168.0.0    255.255.255.0      192.168.0.1     192.168.0.1       1
      192.168.0.0    255.255.255.0         10.0.0.2        10.0.0.2       1
      192.168.0.1  255.255.255.255        127.0.0.1       127.0.0.1       1
    192.168.0.255  255.255.255.255      192.168.0.1     192.168.0.1       1
        224.0.0.0        224.0.0.0         10.0.0.2        10.0.0.2       1
        224.0.0.0        224.0.0.0      192.168.0.1     192.168.0.1       1
  255.255.255.255  255.255.255.255         10.0.0.2        10.0.0.2       1
Default Gateway:          10.0.0.1
===========================================================================
Persistent Routes:
  Network Address          Netmask  Gateway Address  Metric
         10.0.0.0        255.0.0.0      192.168.0.2       1




***Computer C
Kernel IP routing table
Destination     Gateway         Genmask         Flags Metric Ref    Use
Iface
192.168.0.0     *               255.255.255.0   U     0      0        0 eth0
10.0.0.0        192.168.0.1     255.0.0.0       UG    0      0        0 eth0
127.0.0.0       *               255.0.0.0       U     0      0        0 lo
default         192.168.0.1     0.0.0.0         UG    0      0        0 eth0